Triangle Similarity

Tibor Marcinek, Mar 22, 2016

Triangle similarity proofs and applications

Table of Contents

  1. Theorems and Conditions
    1. Side Splitting Theorem - ST
    2. AA similarity theorem - ST
    3. The Midsegment Theorem - ST
    4. Centroid Properties 1 - ST
    5. Centroid Properties 2: Concurrent Medians - ST
  2. Applications of triangle similarity
    1. Euclid's Theorems
    2. Solving similar triangles
    3. Diagonal of a regular pentagon

1.

Theorems and Conditions

  • 1. Side Splitting Theorem - ST
  • 2. AA similarity theorem - ST
  • 3. The Midsegment Theorem - ST
  • 4. Centroid Properties 1 - ST
  • 5. Centroid Properties 2: Concurrent Medians - ST

1.1.

Side Splitting Theorem - ST

– Tibor Marcinek

1.2.

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1.3.

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1.4.

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1.5.

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2.

Applications of triangle similarity

  • 1. Euclid's Theorems
  • 2. Solving similar triangles
  • 3. Diagonal of a regular pentagon

2.1.

Euclid's Theorems

– Tibor Marcinek

2.2.

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2.3.

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